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The Mathematical Analysis of Logic George Boole

The Mathematical Analysis of Logic By George Boole

The Mathematical Analysis of Logic by George Boole


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Summary

In 1847, mathematician George Boole published a pamphlet, The Mathematical Analysis of Logic, which launched him into history as one of the nineteenth century's most innovative thinkers. This work was the first to construct a mathematics of logic and the human intellect, establishing the close relationship between mathematics and philosophy.

The Mathematical Analysis of Logic Summary

The Mathematical Analysis of Logic: Being an Essay Towards a Calculus of Deductive Reasoning by George Boole

Self-taught mathematician George Boole (1815-1864) published a pamphlet in 1847 - The Mathematical Analysis of Logic - that launched him into history as one of the nineteenth century's most original thinkers. In the introduction, Boole closely adheres to two themes: the fundamental unity of all science and the close relationship between logic and mathematics. In the first chapter, he examines first principles of formal logic, and then moves on to Aristotelian syllogism, hypotheticals, and the properties of elective functions. Boole uses this pamphlet to answer a well-known logician of the day, Sir William Hamilton, who believed that only philosophers could study 'the science of real existence', while all mathematicians could do was measure things. In essence, The Mathematical Analysis of Logic humbly chides Hamilton and asks him to rethink his bias. Boole is compelling reading for anyone interested in intellectual history and the science of the mind.

Table of Contents

Preface; 1. Introduction; 2. First principles; 3. Of expression and interpretation; 4. Of the conversion of propositions; 5. Of syllogisms; 6. Of hypotheticals; 7. Properties of elective functions; 8. Of the solution of elective equations; 9. Postscript.

Additional information

NLS9781108001014
9781108001014
1108001017
The Mathematical Analysis of Logic: Being an Essay Towards a Calculus of Deductive Reasoning by George Boole
New
Paperback
Cambridge University Press
2009-07-20
92
N/A
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